The figure below shows a transversal t which intersects the parallel lines PQ and RS:
Write a paragraph to prove that the measure of angle 4 is equal to the measure of angle 8.
Answers
In this case, the corresponding angles are:
1 and 5
2 and 6
3 and 7
4 and 8
Since angle 4 and 8 are corresponding angles, they are necessarily equal.
Answer:
For the proof, check the explanation part.
Step-by-step explanation:
In the given figure, the lines PQ and RS are parallel and line t is transversal.
It is required to prove that measure of angle 4 is equal to measure of angle 8.
Now, measure of angle 4 will be equal to measure of angle 6 because they are the alternate interior angles.
Now, the measure of angle 6 will be equal to measure of angle 8 because they are the vertically opposite angles.
So, form the above information, it can be concluded that,
[tex]\angle 4=\angle 6\\\angle 6=\angle 8\\\angle 4=\angle 8[/tex]
Hence proved.
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Related Questions
find the slope of a line parallel to 3x+5y=15
Answers
Answer:
A. [tex]-\frac{3}{5}[/tex].
Step-by-step explanation:
We have been given equation of a line [tex]3x+5y=15[/tex]. We are asked to find the slope of a parallel line to our given line.
We know that slopes of parallel lines are equal, so slope of the parallel line will be equal to slope of our given line.
To find the slope of our given line, we will convert our given equation in slope-intercept form of equation [tex]y=mx+b[/tex], where m represents slope of line.
First of all, we will subtract 3x from both sides of our given equation as:
[tex]3x-3x+5y=15-3x[/tex]
[tex]5y=-3x+15[/tex]
Now, we will divide both sides by 5.
[tex]\frac{5y}{5}=\frac{-3x+15}{5}[/tex]
[tex]y=\frac{-3x}{5}+\frac{15}{5}[/tex]
[tex]y=-\frac{3x}{5}+3[/tex]
Upon comparing our equation with slope-intercept form, we can see that [tex]m=-\frac{3}{5}[/tex] and option A is the correct choice.
If Ryan pays his car insurance for the year in full, he will get a credit if $28. If he chooses to pay a monthly premium, he will pay a $10 late fee for any month the payment is late
A.which of these values could be represented with a negative number?explain.
Answers
Answer:
The value that represented with a negative number is the $10 fee that Ryan pay as a late fee.
Step-by-step explanation:
Consider the provided information.
Ryan pays his car insurance for the year in full, he will get a credit of $28.
Here credit represented with a positive number because $28 added to his account.
If he chooses to pay a monthly premium, he will pay a $10 late fee for any month the payment is late.
Here late fee represented by a negative number because if he will miss his monthly payment then $10 will be subtracted from his account.
Thus, we can say that the value that represented with a negative number is the $10 fee that Ryan pay as a late fee.
Brad has $1.65. He spends 75 cents to buy a card. How much change does he get back ?
Answers
Final answer:
After purchasing a card for 75 cents, Brad receives 90 cents back in change from his initial $1.65.
Explanation:
The student's question is about calculating change returned after a purchase, which is a basic arithmetic problem. Brad starts with $1.65 and spends 75 cents on a card. To find out how much change Brad gets back, we subtract the cost of the card from the amount Brad started with.
$1.65 - $0.75 = $0.90
Therefore, Brad gets 90 cents back in change after buying the card.
If b = 9 cm, c = 7 cm, and m∠A = 66°, what is the approximate area of ABC?
A) 28.78 cm2
B) 12.81 cm2
C) 14.62 cm2
D) 57.55 cm2
Thank you!
Answers
Substitute b = 9, c = 7, and m∠A = 66° into the formula gives
Area = 9 × 7 × sin 66° = 57.55
ANSWER: D
On the football team, two out of every seven players are seniors. If the team has 84 players, how many of the players are not seniors?
Answers
Answer: 60
Step-by-step explanation:
Given : The fraction of football players are senior = [tex]\dfrac{2}{7}[/tex]
If the team has 84 players, then by using the MULTIPLICATION OPERATION, we have
The number of players are senior = [tex]\dfrac{2}{7}\times84=24[/tex]
Then by using Subtraction operation , the number of players are not seniors =84-24=60
the square of m minus the cube of n is sixteen
Answers
[tex] {m}^{2} - {n}^{3 } = 16[/tex]
Trygg has 3/4 package of marigold seeds. He plants 1/6 of those seeds in his garden as and divides the rest equally into 10 flower pots. What fractionof a package of seeds is planted in each flowerpot?
Answers
3/4 * 1/6 = 1/8
He divides the rest equally into 10 flowerpots. What is the rest? In order to know what "the rest" is, you must subtract 1/8 from 3/4. Find the common denominator of 4 and 8 which is 8. Multiple the numerator 3 * 2= 6 with a denominator of 8.
3/4 - 1/8 = 6/8 -1/8
= 5/8
5/8 is left to be divided equally into 10 flowerpots.
5/8 ÷ 10/1
= 5/8 * 1/10
= 5/80
= 1/16
We are required to find the fraction of a package of seeds is planted in each flowerpot.
The fraction of a package of seeds planted in each flowerpot is 7/120
Given:
Total package of seed = 3/4
Quantity of seeds planted in his garden = 1/6
Quantity of seed remaining = Total package of seed - Quantity of seeds planted in his garden
= 3/4 - 1/6
= (18 - 4) /24
= 14 / 24
Quantity of seed remaining = 7 / 12
Number of flowerpots = 10fractionof a package of seeds is planted in each flowerpot = Quantity of seed remaining ÷ Number of flowerpots
= 7/12 ÷ 10/1
= 7/12 × 1/10
= (7 × 1) / (12 × 10)
= 7/120
Therefore, the fraction of a package of seeds planted in each flowerpot is 7/120
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help me please below........
Answers
The initial value is the y value at x=0, ie., 132.
So the equation must be: y = 132 + 33x
Imagine you are drawing a comic strip showing how to solve the problem 72 divided into 4 to new 4th graders. Create a script to explain how you can keep dividing after getting a remainder of 3 tens in the first step
Answers
First, we divide first the tens digit which is 7 by 4. We get 1 and a remainder of 3 tens. Meaning each of the egg basket is having at least 10 quail eggs.
Then, 3 tens will be coupled with 2 thus making 32. We further divide the resulting number with 4. We know that four (4) eights make up to 32. In equation, 8+8+8+8 = 32 or 4x8 = 32. Thus, 32/4 will give us the quotient of 8. Meaning each basket will get 8 eggs.
Adding all up, 10+8 eggs will give us 18 eggs. Therefore, each basket will contain 18 eggs. 72 divided by 4 is 18.
Chaz rides 1/3 mile every 1/6 hour. How far does he ride in 1 hour?
Answers
Yoko is buying a car from a local car dealership. She wants to get the lowest interest rate possible. Which will most likely help her get the lowest interest rate?
A)asking nicely
B)making sure she has a positive credit history
C)explaining that she has many outstanding loans
D)showing her driver’s license
Answers
Answer:
B)making sure she has a positive credit history
Step-by-step explanation:
Yoko is buying a car from a local car dealership. She wants to get the lowest interest rate possible.
B) making sure she has a positive credit history - will most likely help her get the lowest interest rate.
Getting low interest rates does not depend on the way you talk or if you have a driver licence.
It depends on your previous credit history and credit scores. When you have good scores, this means you have always paid your debts on time and this makes sure that you will do the same in future.
So, you get low interest rates based on good credit history.
To get the lowest interest rate she should make sure that she has a positive credit history. Option (B) is correct.
Further Explanation:
Given:
The options are as follows,
(A). Asking nicely
(B). Making sure she has a positive credit history
(C). Explaining that she has many outstanding loans
(D). Showing her driver’s license
Explanation:
Yoko is buying a car from a local car dealership. She wants to get the lowest interest rate possible.
To get the lowest interest rate she should make sure that she has a positive credit history. Option (B) is correct.
Option (A) is not correct.
Option (B) is correct.
Option (C) is not correct.
Option (D) is not correct.
Learn more:
If the clothing maker bought 500 m2 of this fabric, how much money did he lose? use 1tepiz=0.625dollar and 0.9144m=1yard https://brainly.com/question/2479097. Suppose that you find the volume of all the oceans to be 1.4×109km3 in a reference book. to find the mass, you can use the density of water, also found in this reference book, but first you must convert the volume to cubic meters. what is this volume in cubic meters? https://brainly.com/question/1446243.Answer details:
Grade: High School
Subject: Mathematics
Chapter: Loan schedule
Keywords: Yoko, buying, car, local car, dealership, lowest interest rate, possible, asking nicely, credit history, positive credit history, loan, license, outstanding.
Cookies are on sale! Today each cookie costs $0.75 less than the normal price. Right now if you buy 7 of them it will only cost you $2.80! Write an equation to determine the normal price of each cookie. Find the normal price of each cookie.
Answers
(C - $.75) 7 = $2.80
Divide both sides of equation by 7
C - $.75 = $2.80 / 7 Add $.75 to both sides of equation
C = $.40 + $.75
C = $1.15
Answer:
The price of each cookie is $ 1.15.
Step-by-step explanation:
Let x be the normal price of each cookie,
Since, each cookie costs $0.75 less than the normal price,
Thus, the new price of each cookie = ( x - 0.75 ) dollars,
So, the price of 7 cookies = 7( x-0.75 ) dollars
According to the question,
The price of 7 cookies = $ 2.80
⇒ 7( x-0.75 ) = 2.80
Which is the required equation to determine the normal price of each cookies,
For solving the above equation,
Divides both sides by 7,
x - 0.75 = 0.4
Adding 0.75 on both sides,
x = 1.15
Hence, the price of each cookie is $ 1.15.
A drawing with the scale of 3 cm for each meter shows where Adam wants to plant flowers. If the actual distance of the flower planting is 25 m long, how long is the scale distance on the drawing?
Answers
A plane flies over city A and reaches city B, 115 miles away, in 15 minutes. Find the speed of the plane in miles per hour assuming the plane flew at a constant speed.
A. 300 mph
B. 460 mph
C. 600 mph
D. 680 mph
Answers
There are 60 minutes in one hour so you want to find how many times 15 goes into 60 so you can then multiply that by 115.
60 / 15 = 4.
Now multiply 115 by 4,
115 x 4 = 460
Therefore the plane is flying at B. 460 mph.
Hope I helped!
Answer:
B
460
Step-by-step explanation:
how do you know if two line segments are parallel
Answers
What is the greatest common of 48 and 14
Answers
48: 22223 14: 2 7GCF: 2
The Greates Common Factor (GCF) is: 2
You earn $7.80 an hour working as a dog sitter. You work 12.5 hours during the weekend. How much money do you make?
Answers
In the diagram, AB:BC is 3:4 and AC:42 Find BC
Answers
AB + BC = AC
we know that AC = 42, therefore:
AB + BC = 42 ..............> equation I
We know that the ratio AB:BC is 3:4. This means that:
AB/BC = 3/4
4AB = 3BC
AB = (3/4) BC ...............> equation II
Substitute by equation II in equation I to get BC as follows:
(3/4) BC + BC = 42
1.75 BC = 42
BC = 24
Substitute with the value of BC in equation II to get AB as follows:
AB = (3/4) * 24 = 18
You make 3 batches of cookies to make bags for a sale. You put 5 cookies in each bag. Given 14(5)+2=3(24). What do the terms represent? Please help!!
Answers
14 is the number of bags you can make in total.
24 is the number of cookies per batch.
5 is the number of cookies in each bag.
I hope this will help you.
Which is a measure of the efficiency of an investment?
Answers
Answer:
ROI
Step-by-step explanation:
To measure the efficiency of the an investment, we use a term called "ROI"
That is return on investment. which is calculated by the formula
(return earned/ capital invested)*100.
Lets assume that you invested $10000 in any bank or business venture, and you earned a profit or return of $2000. So your percentage of return is (2000/10000)*100 = 20%
State the value of m and the value of b!
A. F(x):m= , b=
B. G(x): m= , b =
C. H(x): m = , b=
Answers
B) g(x) goes up 1 for each 3 it goes to the right, so its slope is m = 1/3. It crosses the y-axis at b = -3.
C) h(x) goes up 2 for each 1 it goes to the right, so its slope is m = 2/1 = 2. It crosses the y-axis at b = 0.
I am a mutiple of 60. I am between 400 and 600 . I am 40 away from a multiple of 100. who am i
Answers
The #s are 420, 480, and 540.
None of them are 40 away from a multiple of 100.
However, it is was between 300 and 600, the answer would be 360.
A marathon is 131 over 5 miles long. If for people divide up the distance equally, how many miles does each person need to run?
Answers
Answer:
6.55 miles to run
Step-by-step explanation:
A distance of marathon is = [tex]\frac{131}{5}[/tex] miles long.
or [tex]26\frac{1}{5}[/tex] miles
If four people divide up the distance equally.
To calculate the distance each person need to run we will divide [tex]\frac{131}{5}[/tex] by 4
= [tex]\frac{\frac{131}{5} }{4}[/tex]
= [tex]\frac{131}{5}[/tex] × [tex]\frac{1}{4}[/tex]
= [tex]\frac{131}{20}[/tex]
= [tex]6\frac{11}{20}[/tex]
= 6.55 miles
each 4 person need 6.55 miles to run.
melanie michael has a salaried and exempt job. she earns $825 a week. one week she worked 46 hours. find her gross weekly earnings.
Answers
need help on #15 please
Answers
Thus, the sum of the measures of this exterior angle, and the 2 opposing interior angles is not 180°.
It is the sum of the measure of its supplementary angle, and the other 2 opposing interior angles, which is equal to 180°.
So first, we find the measure of the supplementary angle (which is the third interior angle):
180°-(2x-12)°=180°-(2x)°+12°=192°-(2x)°.
Second, the sum of the measures of the interior angles is 180°, so:
192°-(2x)°+30°+x°=180°
192°-180°+30°=(2x)°-x°
42°=x°
So, x=42.
The measure of the exterior angle is thus:
(2x-12)°=(2*42-12)°=(84-12)°=72°
Answer: 72°
Fifty students were eating lunch in the school cafeteria. The ratio of boys to girls was 25:25. Mrs. White asked Kym to explain what that ratio meant. Kym said it meant that 25% of the students in the cafeteria were boys. Explain why Kym is incorrect.
Answers
Answer:
Sample Response: The ratio of boys to total students was 25:50. Written as a fraction, this is 25/50. Rewrite the fraction with a denominator of 100 to 50/100. So 50% of the students were boys.
Step-by-step explanation:
The quotient of the opposite of 30 and 6 plus the opposite of 8
Answers
The quotient of the opposite of 30 and 6 means we're dividing negative 30 by 6. The next part, "plus the opposite of 8" means we want to add -8 to whatever we get from -30/6. So we have:
[tex]\frac{-30}{6}+(-8)[/tex]
[tex]-5+(-8)[/tex]
[tex]-13[/tex]
PLEASE HELP AND ANSWER BOTH QUESTIONS
Answers
Expand and do FOIL method (first outside inside last)
simplify and then choose right answer
A is your answer
Do the same thing
hope this helps
2.) 4y^2 - 36xy + 81x^2
Write he ratio that compares $7 1/2 dollars to 3/4 pound of coffee dollars to pounds of coffee=
Answers
The ratio that compares $7 1/2 dollars to 3/4 pound of coffee dollars to pounds of coffee is 10.
What are the ratio and proportion?The ratio is the division of the two numbers.
For example, a/b, where a will be the numerator and b will be the denominator.
Proportion is the relation of a variable with another. It could be direct or inverse.
As per the given,
$7 1/2 = $(7 + 1/2) = $15/2
$30/4 → $3/4 × 10
3/4 pounds
Ratio = 10
Hence "The ratio that compares $7 1/2 dollars to 3/4 pound of coffee dollars to pounds of coffee is 10".
For more information about ratios and proportions,
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Carey correctly graphs a linear function. The slope of the function is –1. The y-intercept is 3. Which is Carey’s graph?
Answers
Answer:
The linear function is [tex]y=-x+3[/tex]. The graph of function is given below.
Step-by-step explanation:
The slope intercept form of a linear function is
[tex]y=mx+b[/tex]
Where, m is slope and b is y-intercept.
Since the slope is -1 and the y-intercept is 3, therefore the linear function is,
[tex]y=-x+3[/tex]
put y=0, to find x-intercept.
[tex]0=-x+3[/tex]
[tex]x=3[/tex]
Therefore the line intersect the y-axis at y=3, x-intercept is x=3 and the as the value of x increases the value of y decreases.
The graph of the linear function [tex]y=-x+3[/tex] is given below.
The first graph.
It's right on edge